# American Institute of Mathematical Sciences

October  2008, 20(4): 1039-1056. doi: 10.3934/dcds.2008.20.1039

## Chain recurrence in multidimensional time discrete dynamical systems

 1 Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków

Received  March 2007 Revised  November 2007 Published  January 2008

The author investigates the behavior of multidimensional time discrete dynamical systems. Problems of expansivity, P.O.T.P. and chain recurrence are considered in particular. The main result of this article is a general version of Spectral Decomposition Theorem.
Citation: Piotr Oprocha. Chain recurrence in multidimensional time discrete dynamical systems. Discrete and Continuous Dynamical Systems, 2008, 20 (4) : 1039-1056. doi: 10.3934/dcds.2008.20.1039
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